Question 813696: For the quadratic function, use the vertex and line symmetry to graph the function
f(x)=x^2+4x-2
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! f(x) = x^2 + 4x - 2
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the above quadratic equation is in standard form, with a=1, b=4, and c=-2
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to solve the quadratic equation, plug this:
1 4 -2
into this: https://sooeet.com/math/quadratic-equation-solver.php
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x-intercepts:
the roots of the quadratic are real
0.449489743
-4.44948974
so:
( 0.449489743, 0)
( -4.44948974, 0)
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y-intercept:
f(0) = 4(0)^2 - 8(0) + 6 = 6
( 0, 6 )
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min or max vertex:
vertex is a minimum at ( -2, -6 )
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line of symmetry:
x = -2
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Graph:
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